Hello Maureen, there is a county Down website here and under surnames there is a lot of Torley names listed and a reference to also look at Turley, https://rosdavies.com/ This is a site about County Down and I an not sure about how active it is, there were a few sites about the area and then went down again but this one has reappeared a couple of years ago and while you can look I am not sure it is active.
The IRB were a fore runner of the IRA and came out of the 1860s Fenian rebellion. There is no mention of the name in the Bureau of Military Archives from the 1920s.
You could also try the PRONI website which is based in Belfast in Northern Ireland now. https://www.nidirect.gov.uk/campaigns/public-record-office-northern-ire…;
I looked at Roots Ireland and there are no Torley listed before 1820, the 1780 on gives a lot of Gourley and all Church of Ireland (Anglican) the first Turley appears around 1815 and in no case is the mother listed in the baptisms, I did not look at the marriages, only thing that might assist was one was listed the father was a butcher and you mentioned they, ran a store. Torley appears in 1820 in Newry as in that spelling. RC church records are probably not available pre 1800, as in most cases and rarely for the 1700s as Catholics were not encouraged. You can see the parishes here and the dates but not all records are on this site, the subscription site Roots Ireland often has more but in a lot of cases they do not exist. https://registers.nli.ie/parishes/0455 Baptisms in Newry commence in 1818 and marriages in 1820.
In the Flax Growers List if 1796 there is a Michael Turley in Newry, but that is all, two other Turley in County Down.
I know there is a County Down Facebook page for DNA matching which is active and there are probably at least one for general history and genealogy, these would be private and you apply to join, usually very well moderated and people who are interested in the area, you could also see what records the local library has in Newry.
Regards
Pat
